#### Solution for .75 is what percent of 30:

.75:30*100 =

(.75*100):30 =

75:30 = 2.5

Now we have: .75 is what percent of 30 = 2.5

Question: .75 is what percent of 30?

Percentage solution with steps:

Step 1: We make the assumption that 30 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={30}.

Step 4: In the same vein, {x\%}={.75}.

Step 5: This gives us a pair of simple equations:

{100\%}={30}(1).

{x\%}={.75}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{30}{.75}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{.75}{30}

\Rightarrow{x} = {2.5\%}

Therefore, {.75} is {2.5\%} of {30}.

#### Solution for 30 is what percent of .75:

30:.75*100 =

(30*100):.75 =

3000:.75 = 4000

Now we have: 30 is what percent of .75 = 4000

Question: 30 is what percent of .75?

Percentage solution with steps:

Step 1: We make the assumption that .75 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={.75}.

Step 4: In the same vein, {x\%}={30}.

Step 5: This gives us a pair of simple equations:

{100\%}={.75}(1).

{x\%}={30}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{.75}{30}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{30}{.75}

\Rightarrow{x} = {4000\%}

Therefore, {30} is {4000\%} of {.75}.

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